From Newton's second law to Euler's equations of perfect fluids

Authors :: Mikaela Iacobelli
Daniel Han-Kwan
Centre de Mathématiques Laurent Schwartz (CMLS)
Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
ANR-19-CE40-0004,SALVE,Singularités dans des limites asymptotiques d'équations de Vlasov(2019)
Source :: Proceedings of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Society, 2021, ⟨10.1090/proc/15349⟩
Publication Year :: 2021
Publisher :: HAL CCSD, 2021.
Abstract: Vlasov equations can be formally derived from N-body dynamics in the mean-field limit. In some suitable singular limits, they may themselves converge to fluid dynamics equations. Motivated by this heuristic, we introduce natural scalings under which the incompressible Euler equations can be rigorously derived from N-body dynamics with repulsive Coulomb interaction. Our analysis is based on the modulated energy methods of Brenier and Serfaty.<br />Minor typos corrected

Language :: English
ISSN :: 00029939 and 10886826
Database :: OpenAIRE
Journal :: Proceedings of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Society, 2021, ⟨10.1090/proc/15349⟩
Accession number :: edsair.doi.dedup.....a3c730743540c40479da15d8fedc0004
Full Text :: https://doi.org/10.1090/proc/15349⟩